Results 51 to 60 of about 16,055 (246)

Mellin Transform of Dirichlet L-Functions with Primitive Character

open access: yesMathematical Modelling and Analysis, 2014
In the paper, meromorphic continuation for the modified Mellin transform of Dirichlet L-functions with primitive character is obtained.
Aidas Balčiūnas, Darius Šiaučiūnas
doaj   +1 more source

Estimates and properties of certain q-Mellin transform on generalized q-calculus theory

open access: yesAdvances in Difference Equations, 2021
This paper deals with the generalized q-theory of the q-Mellin transform and its certain properties in a set of q-generalized functions. Some related q-equivalence relations, q-quotients of sequences, q-convergence definitions, and q-delta sequences are ...
Shrideh Al-Omari
doaj   +1 more source

Harmonic sums and mellin transforms [PDF]

open access: yesNuclear Physics B - Proceedings Supplements, 1999
Contribution to the Proceedings of the 7th International Workshop on Deep Inelastic Scattering and QCD, DIS99, DESY-Zeuthen, April 1999; Nucl. Phys. B (Proc. Suppl.)
openaire   +3 more sources

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad   +1 more
wiley   +1 more source

A direct approach to the mellin transform

open access: yesThe Journal of Fourier Analysis and Applications, 1997
The authors describe a systematic historical survey of the well-known Mellin transform and present a new approach to the Mellin transform that is fully independent of Laplace or Fourier transform theory in a unified form containing basic properties and major results under natural, minimal hypotheses upon the functions involved therein. The basis of the
Butzer, Paul L., Jansche, Stefan
openaire   +2 more sources

Space‐Time Smoothness and Parsimony in Covariance Functions

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 13247-13259, September 2025.
ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi   +2 more
wiley   +1 more source

Quantifying the Nutritional and Socio‐Ecological Dimensions of Indian Ocean Fisheries

open access: yesFish and Fisheries, Volume 26, Issue 5, Page 909-922, September 2025.
ABSTRACT Seafood from marine fisheries, such as finfishes and invertebrates, is an important source of nutrients for billions of people globally. Seafood species vary in their micronutrient concentration, their economic value, and their vulnerability to exploitation and climate change. However, fisheries management has rarely considered the nutritional
Vania Andreoli   +6 more
wiley   +1 more source

Tree-level gluon amplitudes on the celestial sphere

open access: yesPhysics Letters B, 2018
Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes.
Anders Ø. Schreiber   +2 more
doaj   +1 more source

Correlations of the squares of the Riemann zeta function on the critical line

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size T3/2−ε$T^{3/2-\varepsilon }$. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's.
Valeriya Kovaleva
wiley   +1 more source

A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2007
In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.
Violeta Balinskaitė
doaj   +1 more source

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